Scale Dependence and Small-x Behaviour of Polarized Parton Distributions

Details Scale Dependence and Small-x Behaviour of Polarized Parton Distributions Scale Dependence and Small-x Behaviour of Polarized Parton Distributions

1995-02-17

arxiv.org/abs/hep-ph/9502340v3

Nucl.Phys. B444 (1995) 287-309; Erratum-ibid. B449 (1995) 680

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, TeX with harvmac, 3 figures in compressed postscript. Final version, to be published in Nucl. Phys. B

Scientific paper

10.1016/0550-3213(95)00178-U

We discuss perturbative evolution of the polarized structure function g_1 in the (x,Q^2) plane, with special regard to the small-x region. We determine g_1 in terms of polarized quark and gluon distributions using coefficient functions to order alpha_s. At small x g_1 then displays substantial scale dependence, which necessarily implies a corresponding scale dependence in the large-x region. This scale dependence has significant consequences for the extraction of the first moment from the experimental data, reducing its value while increasing the error. Conversely, the scale dependence may be used to constrain the size of the polarized gluon distribution.

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